The Calculation of Errors by the Method of Least Squares
- 15 April 1932
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 40 (2), 207-227
- https://doi.org/10.1103/physrev.40.207
Abstract
Present status of least squares' calculations.—There are three possible stages in any least squares' calculation, involving respectively the evaluation of (1) the most probable values of certain quantities from a set of experimental data, (2) the reliability or probable error of each quantity so calculated, (3) the reliability or probable error of the probable errors so calculated. Stages (2) and (3) are not adequately treated in most texts, and are frequently omitted or misused, in actual work. The present article is concerned mainly with these two stages.Keywords
This publication has 8 references indexed in Scilit:
- Numerical Mathematical AnalysisPhysics Today, 1963
- XI.The application of least squaresThe London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, 1931
- LXXI. Fitting observations to a curveThe London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, 1930
- THE INVALIDITY OF A COMMON USED METHOD FOR COMPUTING A CERTAIN PROBABLE ERRORProceedings of the National Academy of Sciences of the United States of America, 1929
- (I.) The Theory of Measurements. By L. Tuttle and J. Satterly. Pp. xi+333. 12s. 6d. net. 1925. (Longmans, Green & Co.) - (II) A First Course in Statistical Method. By G. I. Gavett. Pp. viii+358. 17s. 6d. 1925. (M’Graw-Hill Book Co.)The Mathematical Gazette, 1927
- LXXVIII. The adjustment of observationThe London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, 1924
- XVIII. The adjustment of observations. IThe London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, 1920
- Theory of Measurements . By James S. Stevens, Professor of Physics in the University of Maine. New York, D. Van Nostrand Company. 1915. Pp. vii + 81. Price $1.25 net.Science, 1915